Title: Evolution of Open Systems and Dynamical Semigroups

Speaker: Valentin A. Zagrebnov (Institut de Mathématiques de Marseille)

Abstract: We consider dynamical semigroups for unbounded Kossakowski-Lindblad-Davies generators corresponding to evolution of open systems. For this evolution we prove the existence of uniquely determined minimal trace-preserving strongly continuous dynamical semigroups on the space of states constructed by a regularisation à la Kato. We illustrate these results by a simplest example of the open quantum oscillator. The corresponding dual W*-dynamical system is unital quasi-free and (completely) positive automorphism of the Weyl CCR-algebra.

Time: Friday 27th January 2017, 2.00pm.

Place: Lecture Room, School of Theoretical Physics, DIAS, 10 Burlington Road, Dublin 4.